TY  - JOUR
T1  - A New Numerical Approach Using Chebyshev Third Kind Polynomial for Solving Integrodifferential Equations of Higher Order
AU  - James, Adewale
AU  - Muhammed Abdullahı, Ayınde
AU  - Ishaq, Ajimoti Adam
AU  - Oyedepo, Taiye
PY  - 2022
DA  - September
DO  - 10.54287/gujsa.1093536
JF  - Gazi University Journal of Science Part A: Engineering and Innovation
JO  - GU J Sci, Part A
PB  - Gazi University
WT  - DergiPark
SN  - 2147-9542
SP  - 259
EP  - 266
VL  - 9
IS  - 3
LA  - en
AB  - There are several classifications of linear Integral Equations. Some of them include; Voltera Integral Equations, Fredholm Linear Integral Equations, Fredholm-Voltera Integrodifferential. In the past, solutions of higher-order Fredholm-Volterra Integrodifferential Equations [FVIE] have been presented. However, this work uses a computational techniques premised on the third kind Chebyshev polynomials method. The performance of the results for distinctive degrees of approximation (M) of the trial solution is cautiously studied and comparisons have been additionally made between the approximate/estimated and exact/definite solution at different intervals of the problems under consideration. Modelled Problems have been provided to illustrate the performance and relevance of the techniques. However, it turned out that as M increases, the outcomes received after every iteration get closer to the exact solution in all of the problems considered. The results of the experiments are therefore visible from the tables of errors and the graphical representation presented in this work.
KW  - Degree of Approximant
KW  - Exact Solution
KW  - Third Kind Chebyshev Polynomial
KW  - Trial Solution
KW  - Volterra-Fredholm Integrodifferential Equations
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UR  - https://doi.org/10.54287/gujsa.1093536
L1  - https://dergipark.org.tr/en/download/article-file/2333069
ER  -